Integration help

  • #1

Main Question or Discussion Point

How to integrate: x / (1+x)
 

Answers and Replies

  • #2
cepheid
Staff Emeritus
Science Advisor
Gold Member
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"By parts" would be my first stab at it
 
  • #3
809
0
Would integrating, [tex] \frac{1}{1+x} [/tex] be any easier?

If you got rid of the [itex] x [/itex] on the top it might make your life easier right?

[tex] \frac{x}{1+x} [/tex]

[tex] \frac{x}{1+x} - \frac{1+x}{1+x} = \frac{-1}{1+x} [/tex]

[tex] \frac{x}{1+x}=\frac{-1}{1+x}+\frac{1+x}{1+x} [/tex]

[tex] \frac{x}{1+x} = \frac{1+x}{1+x} - \frac{1}{1+x} [/tex]

[tex] \frac{x}{1+x} = 1 - \frac{1}{1+x} [/tex]

Obviously you don't have to do that in as many steps.
 
  • #4
radou
Homework Helper
3,115
6

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